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The entry fee in an exhibition was Rs 10. Later this was reduced by 25%, which increased the sale of tickets by 20%. Find the percentage increase in the number of visitors.
- a)10%
- b)50%
- c)20%
- d)60%
Correct answer is option 'C'. Can you explain this answer?
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The entry fee in an exhibition was Rs 10. Later this was reduced by 25...
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The entry fee in an exhibition was Rs 10. Later this was reduced by 25...
Given:
Entry fee = Rs 10
Reduction in entry fee = 25%
Increase in sale of tickets = 20%
To find: Percentage increase in the number of visitors
Solution:
Let the number of visitors before the reduction in entry fee be x.
Then, the revenue generated before the reduction in entry fee = 10x
After the reduction in entry fee by 25%, the new entry fee = 10 - (25/100) x 10 = Rs 7.5
And the revenue generated after the reduction in entry fee = 7.5 * 1.2x = 9x
The revenue generated after the reduction in entry fee is equal to the revenue generated before the reduction in entry fee. Therefore,
9x = 10x
x = 90
Hence, the number of visitors before the reduction in entry fee was 90.
After the reduction in entry fee, the number of visitors increased by 20%. Therefore, the new number of visitors = 90 * (1 + 20/100) = 108
The percentage increase in the number of visitors = [(108 - 90)/90] * 100% = 20%
Therefore, the percentage increase in the number of visitors is 20%. Answer: Option C.
Entry fee = Rs 10
Reduction in entry fee = 25%
Increase in sale of tickets = 20%
To find: Percentage increase in the number of visitors
Solution:
Let the number of visitors before the reduction in entry fee be x.
Then, the revenue generated before the reduction in entry fee = 10x
After the reduction in entry fee by 25%, the new entry fee = 10 - (25/100) x 10 = Rs 7.5
And the revenue generated after the reduction in entry fee = 7.5 * 1.2x = 9x
The revenue generated after the reduction in entry fee is equal to the revenue generated before the reduction in entry fee. Therefore,
9x = 10x
x = 90
Hence, the number of visitors before the reduction in entry fee was 90.
After the reduction in entry fee, the number of visitors increased by 20%. Therefore, the new number of visitors = 90 * (1 + 20/100) = 108
The percentage increase in the number of visitors = [(108 - 90)/90] * 100% = 20%
Therefore, the percentage increase in the number of visitors is 20%. Answer: Option C.
Community Answer
The entry fee in an exhibition was Rs 10. Later this was reduced by 25...
Increase in visitor and increase in sale is proportionate to each other therefore for increase in sale by 20% the increase in visitor is also by 20%, option 'C' is correct answer.
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The entry fee in an exhibition was Rs 10. Later this was reduced by 25%, which increased the sale of tickets by 20%. Find the percentage increase in the number of visitors.a)10%b)50%c)20%d)60%Correct answer is option 'C'. Can you explain this answer?
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